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What is the Least Common Multiple of 16501 and 16515?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16501 and 16515 is 272514015.

LCM(16501,16515) = 272514015

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Least Common Multiple of 16501 and 16515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16501 and 16515, than apply into the LCM equation.

GCF(16501,16515) = 1
LCM(16501,16515) = ( 16501 × 16515) / 1
LCM(16501,16515) = 272514015 / 1
LCM(16501,16515) = 272514015

Least Common Multiple (LCM) of 16501 and 16515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16501 and 16515. First we will calculate the prime factors of 16501 and 16515.

Prime Factorization of 16501

Prime factors of 16501 are 29, 569. Prime factorization of 16501 in exponential form is:

16501 = 291 × 5691

Prime Factorization of 16515

Prime factors of 16515 are 3, 5, 367. Prime factorization of 16515 in exponential form is:

16515 = 32 × 51 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 16501 and 16515.

LCM(16501,16515) = 291 × 5691 × 32 × 51 × 3671
LCM(16501,16515) = 272514015